20 pts & brainliestttt pls help soon

What is the value of x in the product of powers below?
6 ^ 9 times 6 ^ x = 6 ^ 2

A)-11
B) -7
C) 7
D) 11

Respuesta :

Answer:

The answer is B .

Step-by-step explanation:

You have to use Indices Law,

[tex] {a}^{m} \times {a}^{n} = {a}^{(m + n)} [/tex]

So for this question :

[tex] {6}^{9} \times {6}^{x} = {6}^{2} [/tex]

[tex] {6}^{9 + x} = {6}^{2} [/tex]

[tex]9 + x = 2[/tex]

[tex]x = 2 - 9[/tex]

[tex]x = - 7[/tex]

Answer:

the answer is B

Step-by-step explanation:

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